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Finding the Fourth Proportional to 261.66, 361.09 and 151.14

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Solution

The fourth proportional to 261.66, 361.09 and 151.14 is: 208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.66 : 361.09 = 151.14 : x
  2. Step 2: Convert to fraction form
    261.66/361.09 = 151.14/x
  3. Step 3: Cross multiply
    261.66x = 361.09 × 151.14
  4. Step 4: Simplify right side
    261.66x = 54,575.14
  5. Step 5: Solve for x
    x = 54,575.14/261.66
  6. Step 6: Final answer
    x = 208.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.